NSF/CBMS Regional Conference in the Mathematical Sciences-Knots and Topological Quantum Computing-Summer 2008

NSF/CBMS 数学科学区域会议 - 结和拓扑量子计算 - 2008 年夏季

• 批准号: 0735291
• 负责人: Charlotte Simmons
• 金额: --
• 依托单位: University of Central Oklahoma
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2007
• 资助国家: 美国
• 起止时间: 2007-11-15 至 2009-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0735291&HistoricalAwards=false
• 关键词: NSF; CBMS; Regional; Conference; Mathematical

A quantum computer is a hypothetical device that exploits the principles of quantum mechanics to perform computations. Such computers use the special properties of atoms and light rather than electronics to carry out calculations and have the potential to surpass the speed of digital computers and solve problems that are intractable even for today's fastest parallel machines. One of the main obstacles in building such computers is in manipulating coherent quantum states without introducing errors or losing coherence. In 1997, Freedman and Kitaev proposed a topological model of a quantum computer that performs computations by encoding information in the configurations of braids. These computers have a built-in defense against decoherence and offer the promise of error rates many orders of magnitude lower than any other quantum computation scheme to date. In 2002, Freedman, Kitaev, Wang and Larsen proved that a topological quantum computer can perform any computation that a so-called "qubit quantum computer" can do. In a series of ten lectures, Zhenghan Wang will cover the theoretical foundations of the field of topological quantum computing, the progress that has been made over the last decade, and the future challenges. In addition, Ara Basmajian will give a series of related lectures on knots and their invariants. The conference and the resulting monograph will enable interested researchers to get involved in this exciting area of research while it is still in its infancy. It will be of interest to physicists and computer scientists as well as to mathematicians, and to both theoreticians and practitioners. No background in knot theory, quantum computing, or quantum physics will be assumed. Travel funds will be available to deter the expenses of participants. Advanced undergraduates, graduate students, junior faculty, women, minorities, and persons with disabilities are especially encouraged to participate and to apply for support.

量子计算机是一种假设设备，可利用量子力学原理执行计算。这样的计算机使用原子和光而不是电子的特殊特性来执行计算，并有可能超过数字计算机的速度并解决即使在当今最快的平行机器上也很棘手的问题。构建此类计算机的主要障碍之一是在不引入错误或失去连贯性的情况下操纵相干量子状态。 1997年，Freedman和Kitaev提出了一个量子计算机的拓扑模型，该模型通过编码辫子配置中的信息来执行计算。这些计算机具有针对破坏性的内置防御，并提供了错误率的承诺，比迄今为止的任何其他量子计算方案要低许多数量级。 2002年，Freedman，Kitaev，Wang和Larsen证明了拓扑量子计算机可以执行所谓的“量子量子计算机”可以执行的任何计算。在一系列的十个讲座中，张汉·王（Zhenghan Wang）将涵盖拓扑量子计算领域的理论基础，过去十年来取得的进步以及未来的挑战。此外，Ara Basmajian还将在结及其不变性上进行一系列相关的讲座。 会议和由此产生的专着将使感兴趣的研究人员能够在仍处于起步阶段的同时参与这一令人兴奋的研究领域。物理学家，计算机科学家以及数学家以及理论家和从业者都将有意义。不会假定结理论，量子计算或量子物理学的背景。旅行资金将用于阻止参与者的费用。特别鼓励高级本科生，研究生，初级教师，妇女，少数民族和残疾人参加并申请支持。